We incorporate inertial terms in the hybrid proximal-extragradient algorithmand investigate the convergence properties of the resulting iterative schemedesigned for finding the zeros of a maximally monotone operator in real Hilbertspaces. The convergence analysis relies on extended Fej'er monotonicitytechniques combined with the celebrated Opial Lemma. We also show that theclassical hybrid proximal-extragradient algorithm and the inertial versions ofthe proximal point, the forward-backward and the forward-backward-forwardalgorithms can be embedded in the framework of the proposed iterative scheme.
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